2233035028224 has 2592 divisors, whose sum is σ = 9404600325120. Its totient is φ = 494585118720.

The previous prime is 2233035028223. The next prime is 2233035028241. The reversal of 2233035028224 is 4228205303322.

2233035028224 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 0 + 350 + 282 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233035028223) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25090281172 + ... + 25090281260.

Almost surely, 2^{2233035028224} is an apocalyptic number.

2233035028224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233035028224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702300162560).

2233035028224 is an abundant number, since it is smaller than the sum of its proper divisors (7171565296896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2233035028224 is a wasteful number, since it uses less digits than its factorization.

2233035028224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 2233035028224 in words is "two trillion, two hundred thirty-three billion, thirty-five million, twenty-eight thousand, two hundred twenty-four".